444631136444 has 48 divisors (see below), whose sum is σ = 898856663040. Its totient is φ = 190198844160.

The previous prime is 444631136431. The next prime is 444631136449.

It is a happy number.

444631136444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (1327104) is a multiple of the sum of its prime divisors (55296).

It is a junction number, because it is equal to n+sod(n) for n = 444631136395 and 444631136404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444631136449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10920677 + ... + 10961315.

It is an arithmetic number, because the mean of its divisors is an integer number (18726180480).

Almost surely, 2^444631136444 is an apocalyptic number.

444631136444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444631136444 is an abundant number, since it is smaller than the sum of its proper divisors (454225526596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444631136444 is a wasteful number, since it uses less digits than its factorization.

444631136444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55298 (or 55296 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 444631136444 in words is "four hundred forty-four billion, six hundred thirty-one million, one hundred thirty-six thousand, four hundred forty-four".